212144244000 has 384 divisors, whose sum is σ = 759653137152. Its totient is φ = 51438182400.

The previous prime is 212144243977. The next prime is 212144244023. The reversal of 212144244000 is 442441212.

It is an interprime number because it is at equal distance from previous prime (212144243977) and next prime (212144244023).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10441852 + ... + 10462148.

It is an arithmetic number, because the mean of its divisors is an integer number (1978263378).

Almost surely, 2^212144244000 is an apocalyptic number.

212144244000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212144244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379826568576).

212144244000 is an abundant number, since it is smaller than the sum of its proper divisors (547508893152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212144244000 is a wasteful number, since it uses less digits than its factorization.

212144244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20405 (or 20387 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 212144244000 its reverse (442441212), we get a palindrome (212586685212).

The spelling of 212144244000 in words is "two hundred twelve billion, one hundred forty-four million, two hundred forty-four thousand".